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131404024421240 = 23543199904142463
BaseRepresentation
bin11101111000001011100010…
…001100101001101101111000
3122020021002202101122212100012
4131320023202030221231320
5114210410420222434430
61143250101522001052
736451425136320164
oct3570134214515570
9566232671585305
10131404024421240
11389621520a978a
12128a2b91aa6188
135842466b813ac
142463dbb077ca4
15102d1c0ba4695
hex7782e2329b78

131404024421240 has 128 divisors (see below), whose sum is σ = 304095914496000. Its totient is φ = 51074407802880.

The previous prime is 131404024421233. The next prime is 131404024421279. The reversal of 131404024421240 is 42124420404131.

It is a junction number, because it is equal to n+sod(n) for n = 131404024421197 and 131404024421206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3094532249 + ... + 3094574711.

It is an arithmetic number, because the mean of its divisors is an integer number (2375749332000).

Almost surely, 2131404024421240 is an apocalyptic number.

131404024421240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131404024421240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152047957248000).

131404024421240 is an abundant number, since it is smaller than the sum of its proper divisors (172691890074760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131404024421240 is a wasteful number, since it uses less digits than its factorization.

131404024421240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51757 (or 51753 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 131404024421240 its reverse (42124420404131), we get a palindrome (173528444825371).

The spelling of 131404024421240 in words is "one hundred thirty-one trillion, four hundred four billion, twenty-four million, four hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 199 215 344 398 430 796 860 995 1592 1720 1990 3980 7960 8557 9041 17114 18082 34228 36164 42463 42785 45205 68456 72328 84926 85570 90410 169852 171140 180820 212315 339704 342280 361640 388763 424630 777526 849260 1555052 1698520 1799159 1825909 1943815 3110104 3598318 3651818 3887630 7196636 7303636 7775260 8450137 8995795 9129545 14393272 14607272 15550520 16900274 17991590 18259090 33800548 35983180 36518180 42250685 67601096 71966360 73036360 77363837 84501370 154727674 169002740 309455348 338005480 363355891 383907983 386819185 618910696 726711782 767815966 773638370 1453423564 1535631932 1547276740 1816779455 1919539915 2906847128 3071263864 3094553480 3633558910 3839079830 7267117820 7678159660 14534235640 15356319320 16508043269 33016086538 66032173076 76397688617 82540216345 132064346152 152795377234 165080432690 305590754468 330160865380 381988443085 611181508936 660321730760 763976886170 1527953772340 3055907544680 3285100610531 6570201221062 13140402442124 16425503052655 26280804884248 32851006105310 65702012210620 131404024421240